We consider the steady transonic small disturbance equations on a domain and with data that lead to a solution that depends on a single variable. After writing down the solution, we show that it can also be found by using a hodograph transformation followed by a partial Fourier transform. This motivates considering perturbed problems that can be solved with the same technique. We identify a class of such problems.
The sonic line as a free boundary / B.L. Keyfitz, A.M. Tesdall, K.R. Payne, N.I. Popivanov. - In: QUARTERLY OF APPLIED MATHEMATICS. - ISSN 0033-569X. - 71:1(2013), pp. 119-133. [10.1090/S0033-569X-2012-01283-6]
The sonic line as a free boundary
K.R. PaynePenultimo
;
2013
Abstract
We consider the steady transonic small disturbance equations on a domain and with data that lead to a solution that depends on a single variable. After writing down the solution, we show that it can also be found by using a hodograph transformation followed by a partial Fourier transform. This motivates considering perturbed problems that can be solved with the same technique. We identify a class of such problems.
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